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Quasi-anti-parity–time-symmetric single-resonator micro-optical gyroscope with Kerr nonlinearity
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作者 耿靖童 徐书逸 +4 位作者 靳婷 丁舒林 杨柳 王颖 张勇刚 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期436-440,共5页
Parity–time(PT) and quasi-anti-parity–time(quasi-APT) symmetric optical gyroscopes have been proposed recently which enhance Sagnac frequency splitting. However, the operation of gyroscopes at the exceptional point(... Parity–time(PT) and quasi-anti-parity–time(quasi-APT) symmetric optical gyroscopes have been proposed recently which enhance Sagnac frequency splitting. However, the operation of gyroscopes at the exceptional point(EP) is challenging due to strict fabrication requirements and experimental uncertainties. We propose a new quasi-APT-symmetric micro-optical gyroscope which can be operated at the EP by easily shifting the Kerr nonlinearity. A single resonator is used as the core sensitive component of the quasi-APT-symmetric optical gyroscope to reduce the size, overcome the strict structural requirements and detect small rotation rates. Moreover, the proposed scheme also has an easy readout method for the frequency splitting. As a result, the device achieves a frequency splitting 10~5 times higher than that of a classical resonant optical gyroscope with the Earth's rotation. This proposal paves the way for a new and valuable method for the engineering of micro-optical gyroscopes. 展开更多
关键词 optical gyroscopes quasi-anti-parity–time(quasi-APT)symmetric system exceptional point(EP) the Kerr nonlinearity
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Multiple mixed state variable incremental integration for reconstructing extreme multistability in a novel memristive hyperchaotic jerk system with multiple cubic nonlinearity
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作者 王梦蛟 辜玲芳 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第2期238-246,共9页
Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability.Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting ... Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability.Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting the incremental integration of the state variables into system parameters.However,this approach cannot solve memristive systems in the presence of nonlinear terms other than the memristor term.In addition,the converted state variables may suffer from a degree of divergence.To allow simpler mechanistic analysis and physical implementation of extreme multistability phenomena,this paper uses a multiple mixed state variable incremental integration(MMSVII)method,which successfully reconstructs a four-dimensional hyperchaotic jerk system with multiple cubic nonlinearities except for the memristor term in a three-dimensional model using a clever linear state variable mapping that eliminates the divergence of the state variables.Finally,the simulation circuit of the reduced-dimension system is constructed using Multisim simulation software and the simulation results are consistent with the MATLAB numerical simulation results.The results show that the method of MMSVII proposed in this paper is useful for analyzing extreme multistable systems with multiple higher-order nonlinear terms. 展开更多
关键词 extreme multistability HYPERCHAOTIC jerk system nonlinearity
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Effect of Wave Nonlinearity on the Instantaneous Seabed Liquefaction
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作者 WANG Zhao-jun SUI Ti-ti +1 位作者 ZHANG Chi PAN Jun-ning 《China Ocean Engineering》 SCIE EI CSCD 2024年第1期93-103,共11页
The nonlinear variation of wave is commonly seen in nearshore area,and the resulting seabed response and liquefaction are of high concern to coastal engineers.In this study,an analytical formula considering the nonlin... The nonlinear variation of wave is commonly seen in nearshore area,and the resulting seabed response and liquefaction are of high concern to coastal engineers.In this study,an analytical formula considering the nonlinear wave skewness and asymmetry is adopted to provide wave pressure on the seabed surface.The liquefaction depth attenuation coefficient and width growth coefficient are defined to quantitatively characterize the nonlinear effect of wave on seabed liquefaction.Based on the 2D full dynamic model of wave-induced seabed response,a detailed parametric study is carried out in order to evaluate the influence of the nonlinear variation of wave loadings on seabed liquefaction.Further,new empirical prediction formulas are proposed to fast predict the maximum liquefaction under nonlinear wave.Results indicate that(1)Due to the influence of wave nonlinearity,the vertical transmission of negative pore water pressure in the seabed is hindered,and therefore,the amplitude decreases significantly.(2)In general,with the increase of wave nonlinearity,the liquefaction depth of seabed decreases gradually.Especially under asymmetric and skewed wave loading,the attenuation of maximum seabed liquefaction depth is the most significant among all the nonlinear wave conditions.However,highly skewed wave can cause the liquefaction depth of seabed greater than that under linear wave.(3)The asymmetry of wave pressure leads to the increase of liquefaction width,whereas the influence of skewedness is not significant.(4)Compared with the nonlinear waveform,seabed liquefaction is more sensitive to the variation of nonlinear degree of wave loading. 展开更多
关键词 nonlinear wave seabed response seabed liquefaction numerical simulation liquefaction prediction
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Selective Impact of Dispersion and Nonlinearity on Waves and Solitary Wave in a Strongly Nonlinear and Flattened Waveguide
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作者 Christian Regis Ngouo Tchinda Marcelle Nina Zambo Abou’ou Jean Roger Bogning 《Open Journal of Applied Sciences》 2024年第7期1730-1753,共24页
The waveguide which is at the center of our concerns in this work is a strongly flattened waveguide, that is to say characterized by a strong dispersion and in addition is strongly nonlinear. As this type of waveguide... The waveguide which is at the center of our concerns in this work is a strongly flattened waveguide, that is to say characterized by a strong dispersion and in addition is strongly nonlinear. As this type of waveguide contains multiple dispersion coefficients according to the degrees of spatial variation within it, our work in this article is to see how these dispersions and nonlinearities each influence the wave or the signal that can propagate in the waveguide. Since the partial differential equation which governs the dynamics of propagation in such transmission medium presents several dispersion and nonlinear coefficients, we check how they contribute to the choices of the solutions that we want them to verify this nonlinear partial differential equation. This effectively requires an adequate choice of the form of solution to be constructed. Thus, this article is based on three main pillars, namely: first of all, making a good choice of the solution function to be constructed, secondly, determining the exact solutions and, if necessary, remodeling the main equation such that it is possible;then check the impact of the dispersion and nonlinear coefficients on the solutions. Finally, the reliability of the solutions obtained is tested by a study of the propagation. Another very important aspect is the use of notions of probability to select the predominant solutions. 展开更多
关键词 Flattened Waveguide Solitary Wave Characteristic Coefficient Probabilities Propagation nonlinear DISPERSIVE Partial Differential Equation
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Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity
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作者 梁诗琪 刘杰惠 +1 位作者 赖耘 刘晓宙 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期405-411,共7页
Nonlinear phononic crystals have attracted great interest because of their unique properties absent in linear phononic crystals.However,few researches have considered the bilinear nonlinearity as well as its consequen... Nonlinear phononic crystals have attracted great interest because of their unique properties absent in linear phononic crystals.However,few researches have considered the bilinear nonlinearity as well as its consequences in acoustic metamaterials.Hence,we introduce bilinear nonlinearity into acoustic metamaterials,and investigate the propagation behaviors of the fundamental and the second harmonic waves in the nonlinear acoustic metamaterials by discretization method,revealing the influence of the system parameters.Furthermore,we investigate the influence of partially periodic nonlinear acoustic metamaterials on the second harmonic wave propagation,and the results suggest that pass-band and band-gap can be transformed into each other under certain conditions.Our findings could be beneficial to the band gap control in nonlinear acoustic metamaterials. 展开更多
关键词 bilinear nonlinearity phononic crystal band-gap manipulation nonlinear acoustic metamaterial
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Energy shift and subharmonics induced by nonlinearity in a quantum dot system
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作者 周圆 曹刚 +1 位作者 李海欧 郭国平 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第6期135-139,共5页
The presence of anticrossings induced by coupling between two states causes curvature in energy levels, yielding a nonlinearity in the quantum system. When the system is driven back and forth along the bending energy ... The presence of anticrossings induced by coupling between two states causes curvature in energy levels, yielding a nonlinearity in the quantum system. When the system is driven back and forth along the bending energy levels, subharmonic transitions and energy shifts can be observed, which would cause a significant influence as the system is applied to quantum computing. In this paper, we study a longitudinally driven singlet-triplet(ST) system in a double quantum dot(DQD)system, and illustrate the consequences of nonlinearity by driving the system close to the anticrossings. We provide a straightforward theory to quantitatively describe the energy shift and subharmonics caused by nonlinearity, and find good agreement between our theoretical result and the numerical simulation. Our results reveal the existence of nonlinearity in the vicinity of anticrossings and provide a direct way of analytically assessing its impact, which can be applied to other quantum systems without excessive labor. 展开更多
关键词 quantum dot quantum computing nonlinear physics
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Superfluidity of coherent light in self-focusing nonlinear waveguides
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作者 成泽 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第4期330-343,共14页
We establish the superfluidity theory of coherent light in waveguides made of nonlinear polar crystals.It is found that the pairing state of photons in a nonlinear polar crystal is the photonic superfluid state.The ph... We establish the superfluidity theory of coherent light in waveguides made of nonlinear polar crystals.It is found that the pairing state of photons in a nonlinear polar crystal is the photonic superfluid state.The photon-photon interaction potential is an attractive effective interaction by exchange of virtual optical phonons.In the traveling-wave pairing state of photons,the photon number is conserved,which is similar to the Bose-Einstein condensation(BEC) state of photons.In analogy to the BCS-BEC crossover theory of superconductivity,we derive a set of coupled order parameter and number equations,which determine the solution of the traveling-wave superfluid state of photons.This solution gives the critical velocity of light in a self-focusing nonlinear waveguide.The most important property of the photonic superfluid state is that the system of photon pairs evolves without scattering attenuations. 展开更多
关键词 SUPERFLUIDITY photon pairing nonlinear waveguide
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Reliability analysis of circular concrete-filled steel tube with material and geometrical nonlinearity 被引量:1
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作者 Tengfei XU Tianyu XIANG +1 位作者 Yulin ZHAN Renda ZHAO 《Journal of Modern Transportation》 2012年第3期138-147,共10页
Most of the previous research on concrete-filled steel tube is restricted to a deterministic approach. To gain clear insight into the random properties of circular concrete-filled steel tube, reliability analysis is c... Most of the previous research on concrete-filled steel tube is restricted to a deterministic approach. To gain clear insight into the random properties of circular concrete-filled steel tube, reliability analysis is carried out in the present study. To obtain the Structural nonlinear response and ultimate resistance capacity, material and geometrical nonlinear analysis of circular concrete-filled steel tube is performed with a three-dimensional degenerated beam ele- ment. Then we investigate the reliability of concrete-filled steel tube using the first-order reliability method combined with nonlinear finite element analysis. The influences of such parameters as material strength, slenderness, initial geo- metrical imperfection, etc. on the reliability of circular concrete-filled steel tube column are studied. It can be con- cluded that inevitable random fluctuation of those parameters has significant influence on structural reliability, and that stochastic or reliability methods can provide a more rational and subjective evaluation on the safety of CFT structures than a deterministic approach. 展开更多
关键词 concrete-filled steel tube RELIABILITY material nonlinearity geometrical nonlinearity
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Bifurcation and chaos analysis for aeroelastic airfoil with freeplay structural nonlinearity in pitch 被引量:4
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作者 赵德敏 张琪昌 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第3期217-226,共10页
The dynamics character of a two degree-of-freedom aeroelastic airfoil with combined freeplay and cubic stiffness nonlinearities in pitch submitted to supersonic and hypersonic flow has been gaining significant attenti... The dynamics character of a two degree-of-freedom aeroelastic airfoil with combined freeplay and cubic stiffness nonlinearities in pitch submitted to supersonic and hypersonic flow has been gaining significant attention. The Poincare mapping method and Floquet theory are adopted to analyse the limit cycle oscillation flutter and chaotic motion of this system. The result shows that the limit cycle oscillation flutter can be accurately predicted by the Floquet multiplier. The phase trajectories of both the pitch and plunge motion are obtained and the results show that the plunge motion is much more complex than the pitch motion. It is also proved that initial conditions have important influences on the dynamics character of the airfoil system. In a certain range of airspeed and with the same system parameters, the stable limit cycle oscillation, chaotic and multi-periodic motions can be detected under different initial conditions. The figure of the Poincare section also approves the previous conclusion. 展开更多
关键词 airfoil flutter bifurcation and chaos freeplay nonlinearity Poincare map
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Performance enhancement of wing-based piezoaeroelastic energy harvesting through freeplay nonlinearity 被引量:3
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作者 Abdessattar Abdelkefi Muhammad R. Hajj 《Theoretical & Applied Mechanics Letters》 CAS 2013年第4期14-17,共4页
We investigate experimentally how controlled freeplay nonlinearity affects harvesting energy from a wing-based piezoaeroelastic energy harvesting system. This system consisits of a rigid airfoil which is supported by ... We investigate experimentally how controlled freeplay nonlinearity affects harvesting energy from a wing-based piezoaeroelastic energy harvesting system. This system consisits of a rigid airfoil which is supported by a nonlinear torsional spring (freeplay) in the pitch degree of freedom and a linear fiexural spring in the plunge degree of freedom. By attaching a piezoelectric material (PSI-5A4E) to the plunge degree of freedom, we can convert aeroelastic vibrations to electrical energy. The focus of this study is placed on the effects of the freeplay nonlinearity gap on the behavior of the harvester in terms of cut-in speed and level of harvested power. Although the freeplay nonlinearity may result in subcritical Hopf bifurcations (catastrophic for real aircrafts), harvesting energy at low wind speeds is beneficial for designing piezoaeroelastic systems. It is demonstrated that increasing the freeplay nonlinearity gap can decrease the cut-in speed through a subcritical instability and gives the possibility to harvest energy at low wind speeds. The results also demonstrate that an optimum value of the load resistance exists, at which the level of the harvested power is maximized. 展开更多
关键词 energy harvesting freeplay nonlinearity piezoelectric material aeroelasticity experimental measurements
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ON THE CAUCHY PROBLEM FOR A REACTION-DIFFUSION SYSTEM WITH SINGULAR NONLINEARITY 被引量:2
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作者 周军 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1031-1048,共18页
We consider the growth rate and quenching rate of the following problem with singular nonlinearityfor some positive constants b:, b2 (see Theorem 3.3 for the parametersfor some constantsHence, the solution (u, v) ... We consider the growth rate and quenching rate of the following problem with singular nonlinearityfor some positive constants b:, b2 (see Theorem 3.3 for the parametersfor some constantsHence, the solution (u, v) quenches at the originx = 0 at the same time '1' (see Theorem 4.3). We also tind various other conditions tor the solution to quench in a finite time and obtain the corresponding decay rate of the solution near the quenching time. 展开更多
关键词 Cauchy problems singular nonlinearity growth rate quenching rate
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A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity 被引量:2
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作者 王奕 叶柳 方保龙 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第10期91-95,共5页
We propose a scheme to generate polarization-entangled multiphoton Greenberger-Horne^Zeilinger (GHZ) states based on weak cross-Kerr nonlinearity and subsequent homodyne measurement. It can also be generalized to pr... We propose a scheme to generate polarization-entangled multiphoton Greenberger-Horne^Zeilinger (GHZ) states based on weak cross-Kerr nonlinearity and subsequent homodyne measurement. It can also be generalized to produce maximally N-qubit entangled states. The success probabilities of our schemes are almost equal to 1. 展开更多
关键词 GHZ state cross-Kerr nonlinearity quantum entanglement
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Energy exchange between (3+1)D colliding spatiotemporal optical solitons in dispersive media with cubic-quintic nonlinearity 被引量:2
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作者 杨红 唐翌 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第3期1008-1013,共6页
We investigate the energy exchange between (3+1)D colliding spatiotemporal solitons (STSs) in dispersive media with cubic-quintic (CQ) nonlinearity by numerical simulations. Energy exchange between two (3+1)... We investigate the energy exchange between (3+1)D colliding spatiotemporal solitons (STSs) in dispersive media with cubic-quintic (CQ) nonlinearity by numerical simulations. Energy exchange between two (3+1)D head on colliding STSs caused by their phase difference is observed, just as occurring in other optical media. Moreover, energy exchange between two head-on colliding STSs with different speeds is firstly shown in the CQ and saturable media. This phenomenon, we believe, may arouse some interest in the future studies of soliton collision in optical media. 展开更多
关键词 spatiotemporal solitons cubic-quantic nonlinearity energy exchange
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Modulational instability of incoherently coupled beams in azobenzene-containing polymer with photoisomerization nonlinearity 被引量:1
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作者 张冰志 崔虎 佘卫龙 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第1期209-214,共6页
The modulational instability of two incoherently coupled beams in azobenzene-containing polymer with photoisomerization nonlinearity is investigated analytically and numerically. Our results show that as a precursor t... The modulational instability of two incoherently coupled beams in azobenzene-containing polymer with photoisomerization nonlinearity is investigated analytically and numerically. Our results show that as a precursor to spatial optical soliton formation, modulational instability can be adjusted and controlled by the wavelength combinations of the signal and background beams. We also discuss the dependences of strength of modulational instability on intensities of two signal beams and background beam. These findings make it possible to predict the formation of incoherently coupled soliton pairs in azobenzene-containing polymer. 展开更多
关键词 modulational instability azobenzene-containing polymer photoisomerization nonlinearity
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Dispersive Nonlinearity in Er-Doped Optical Fiber 被引量:1
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作者 Song Qian Li Ji-xing Zhang Yuan-cheng 《Wuhan University Journal of Natural Sciences》 EI CAS 1999年第3期307-312,共6页
Optical dispersive nonlinearities in Er-doped optical fiber are discussed and measured at the third window wavelength 1.55 μm for optical communications firstly. The experimental method, which is developed by us, is ... Optical dispersive nonlinearities in Er-doped optical fiber are discussed and measured at the third window wavelength 1.55 μm for optical communications firstly. The experimental method, which is developed by us, is based on dynamic scanning for fixed-point-interference (DSFPI) of two fiber beams. The real part and complex value of the third-order susceptibility at the wavelength are also obtained from the measured Kerr coefficient and nonlinear-absorption coefficient reported elsewhere. 展开更多
关键词 optical nonlinearity Er-doped fiber optical dispersion
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Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity 被引量:1
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作者 赵瑞通 郭奇 +3 位作者 程留永 孙立莉 王洪福 张寿 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第3期173-178,共6页
Schemes for two-qubit and three-qubit controlled gates based on cross-Kerr nonlinearity are proposed in this paper.The probability of the success of these gates can be increased by quantum nondemolition detectors,whic... Schemes for two-qubit and three-qubit controlled gates based on cross-Kerr nonlinearity are proposed in this paper.The probability of the success of these gates can be increased by quantum nondemolition detectors,which are used to judge which paths the signal photons pass through.These schemes are almost deterministic and require no ancilla photon.The advantages of these gates over the existing ones include less resource consumption and a higher probability of success,which make our schemes more feasible with current technology. 展开更多
关键词 quantum controlled gates cross-Kerr nonlinearity quantum nondemolition detector
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Generation of a four-particle entangled state via cross-Kerr nonlinearity 被引量:1
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作者 赵丽芳 赖柏辉 +3 位作者 梅锋 於亚飞 冯勋立 张智明 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期407-410,共4页
We propose a scheme for generating a genuine four-particle polarisation entangled state |χ^00) that has many interesting entanglement properties and potential applications in quantum information processing. In our ... We propose a scheme for generating a genuine four-particle polarisation entangled state |χ^00) that has many interesting entanglement properties and potential applications in quantum information processing. In our scheme, we use the weak cross-Kerr nonlinear interaction between field-modes and the non-demolition measurement method based on highly efficient homodyne detection, which is feasible under the current experiment conditions. 展开更多
关键词 four-particle entangled state cross-Kerr nonlinearity
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PREPARATION AND SECOND-ORDER OPTICAL NONLINEARITY OF NOVEL PHENOXYSILICON NETWORKS BY SOL-GEL PROCESS 被引量:1
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作者 Xiao Huang Jian Wang Ling-zhi Zhang Zhi-gang Cai Zhao-xi Lianga 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2001年第1期39-44,共6页
Four phenoxysilicon networks for nonlinear optical (NLO) applications were designed and prepared by an extended sol-gel process without additional H2O and catalyst. All poled polymer network films possess high second-... Four phenoxysilicon networks for nonlinear optical (NLO) applications were designed and prepared by an extended sol-gel process without additional H2O and catalyst. All poled polymer network films possess high second-order nonlinear optical coefficients (d(33)) Of 10(-7)similar to 10(-8) esu. The investigation of NLO temporal stability at room temperature and elevated temperature (120 degreesC) indicated that these films exhibit high d(33) stability because the orientation of the chromophores are locked in the phenoxysilicon organic/inorganic networks. 展开更多
关键词 phenoxysilicon networks sol-gel process azobenzene chromophore stilbene chromophore second order optical nonlinearity
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Parameter estimation for dual-rate sampled Hammerstein systems with dead-zone nonlinearity 被引量:1
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作者 WANG Hongwei CHEN Yuxiao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第1期185-193,共9页
The identification of nonlinear systems with multiple sampled rates is a difficult task.The motivation of our paper is to study the parameter estimation problem of Hammerstein systems with dead-zone characteristics by... The identification of nonlinear systems with multiple sampled rates is a difficult task.The motivation of our paper is to study the parameter estimation problem of Hammerstein systems with dead-zone characteristics by using the dual-rate sampled data.Firstly,the auxiliary model identification principle is used to estimate the unmeasurable variables,and the recursive estimation algorithm is proposed to identify the parameters of the static nonlinear model with the dead-zone function and the parameters of the dynamic linear system model.Then,the convergence of the proposed identification algorithm is analyzed by using the martingale convergence theorem.It is proved theoretically that the estimated parameters can converge to the real values under the condition of continuous excitation.Finally,the validity of the proposed algorithm is proved by the identification of the dual-rate sampled nonlinear systems. 展开更多
关键词 dual-rate sampled data dead-zone nonlinearity Hammerstein model system identification convergence analysis
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Strong-form framework for solving boundary value problems with geometric nonlinearity 被引量:1
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作者 J.P.YANG W.T.SU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第12期1707-1720,共14页
In this paper, we present a strong-form framework for solving the boundary value problems with geometric nonlinearity, in which an incremental theory is developed for the problem based on the Newton-Raphson scheme. Co... In this paper, we present a strong-form framework for solving the boundary value problems with geometric nonlinearity, in which an incremental theory is developed for the problem based on the Newton-Raphson scheme. Conventionally, the finite ele- ment methods (FEMs) or weak-form based meshfree methods have often been adopted to solve geometric nonlinear problems. However, issues, such as the mesh dependency, the numerical integration, and the boundary imposition, make these approaches com- putationally inefficient. Recently, strong-form collocation methods have been called on to solve the boundary value problems. The feasibility of the collocation method with the nodal discretization such as the radial basis collocation method (RBCM) motivates the present study. Due to the limited application to the nonlinear analysis in a strong form, we formulate the equation of equilibrium, along with the boundary conditions, in an incremental-iterative sense using the RBCM. The efficacy of the proposed framework is numerically demonstrated with the solution of two benchmark problems involving the geometric nonlinearity. Compared with the conventional weak-form formulation, the pro- posed framework is advantageous as no quadrature rule is needed in constructing the governing equation, and no mesh limitation exists with the deformed geometry in the increment al-it erative process. 展开更多
关键词 geometric nonlinearity incremental-iterative algorithm radial basis collo-cation method (RBCM) strong form
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